I really need some help with this. Please no guesses, I need an exact answer. Thank you in advance.

landon has 60 peppermints and 90 candy corns. he wants to make packages of these candies to bring to his school

the maximum number of packages we take GCF

GCF gives the maximum number of grouping

WE find GCF of 60  and 90

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 are the factors of 60

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 are the factors of 90

So greatest common factor is 30

Hence , 30 packages he can make so that there are no candies left over

Final answer:

To find out the maximum number of packages Landon can make, we calculate the greatest common divisor of 60 and 90, which is 30. Thus, Landon can create 30 packages of candies with none left over.

Explanation:

Landon has 60 peppermints and 90 candy corns. He wants to create packages so that there are no candies left over. To determine the maximum number of packages Landon can make without any leftovers, we need to find the greatest common divisor (GCD) of 60 and 90, which is the largest number that divides both without leaving a remainder.

Step 1: List the factors of each number.
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Step 2: Identify the common factors.
Common factors of 60 and 90: 1, 2, 3, 5, 6, 10, 15, 30

Step 3: Find the greatest common factor.
The greatest common factor is 30.

Therefore, Landon can make a maximum of 30 packages of candies to bring to school without any candies left over.

a.

20/2 = 10

0, 10, 20, 30, 40, 50

b.

32.4/4 = 8.1

0, 8.1, 16.2, 24.3, 32.4, 40.5

c.

8.8/4 = 2.2

0, 2.2, 4.4, 6.6, 8.8, 11

d.

10/3 = 3.3

0, 3.3, 6.7, 10, 13.3, 16.7

Answer:

(a) 0, 10, 20, 30, 40, 50.

(b) 0, 8.1, 16.2, 24.3, 32.4, 40.5.

(c) 0, 2.2, 4.4, 6.6, 8.8, 11.

(d) 0, 3.33, 6.67, 10, 13.33, 16.67.

Step-by-step explanation:

Part a.

From the given number line it is clear that

2 units = 20

So, length of 1 unit is

[tex]\frac{20}{2}=10[/tex]

Therefore, the numbers on the number line are 0, 10, 20, 30, 40, 50.

Part b.

From the given number line it is clear that

4 units = 32.4

So, length of 1 unit is

[tex]\frac{32.4}{4}=8.1[/tex]

Therefore, the numbers on the number line are 0, 8.1, 16.2, 24.3, 32.4, 40.5

.

Part c.

From the given number line it is clear that

4 units = 8.8

So, length of 1 unit is

[tex]\frac{8.8}{4}=2.2[/tex]

Therefore, the numbers on the number line are 0, 2.2, 4.4, 6.6, 8.8, 11.

Part d.

From the given number line it is clear that

3 units = 10

So, length of 1 unit is

[tex]\frac{10}{3}=3.33[/tex]

Therefore, the numbers on the number line are 0, 3.33, 6.67, 10, 13.33, 16.67.

f(x) = 10x + 50

multiply the cost per person by 5 ( you and 4 friends )

f(x) = 5(2x + 10) = 10x + 50

Answer:

78.46 degrees

Step-by-step explanation:

We can use inverse cosine of the measurements since we know the measurements and need the angle.

cos-1(2/10)= angle

Do this on a calculator and set the mode to degrees to get the answer

The answer would be C because 6.7 hours is converted to 402 minutes. In 6 hours, there are 360 minutes. 402-360=42, therefore 6.7 hours is equal to 6 hours and 42 minutes.

Final answer:

6.7 hours is equal to 6 hours and 42 minutes. The conversion is done by multiplying the decimal part of the hour by 60 to get the minutes.

Explanation:

To convert 6.7 hours to hours and minutes, first, note that the integer part of the number represents the hours. Therefore, we have 6 hours. The decimal part (0.7) represents the fraction of the hour. Since there are 60 minutes in one hour, we convert the fraction of the hour to minutes.

To do this, we multiply 0.7 by 60:

0.7 hours * 60 minutes/hour = 42 minutes

So, 6.7 hours is equal to 6 hours and 42 minutes, which corresponds to the answer C) 6 hours and 42 minutes.

Answer: <

Explantion:

[tex]8*4-2(4)=24[/tex]

[tex]5(10-4)=30[/tex], because you factor the 5 into 10 and 4 so

[tex]50-20=30[/tex]

The second one you want will be integers.

1 . When x = 4

Lhs 8.4-2x = 32- 2(4) =32-8 =24

Rhs 5(10-x) = 5( 10- 4) = 5 (6)= 30 as lhs is less than rhs therefore sign will be <

2.the integers are all the counting numbers

Answer:

15

Step-by-step explanation:

In order to have infinite solutions, the left and the right side must be the same.  In order to make each side identical, you must add 15.

Answer: 7

Step-by-step explanation:

We are to find the place value of 4 in

854,093

Firstly, we can rewrite it

[tex]854,093=800000+50000+4000+000+90+3[/tex]

we can see that 4000 is added

so, the place value of 4 in 854,093 is

4000........Answer

Length = 102

hope this helps :)

A) L +6 = 2W  OR

A) L +6 -2W = 0

B) 2L + 2W = 312  Adding A and B

3L +6 = 312

3L = 306

Length = 102

Line BD is intersecting Line AC making it perpendicular.

Triangle ABC is congruent to Triangle ADC because line AC bisects the kite.

Line AB is congruent to line AD because it is just a direct shift of the line

Angle BAC is congruent to angle DAC again because line AC bisects the kite, creating equal angles.

The answer to this question is 10

Answer:

Jim reached a greater depth by one foot, as he started 12 feet below the surface.

Step-by-step explanation:

Jim

12 feet+17 feet = 29

29-3 feet (rose 3 feet) = 26

26+8= 34 feet

Carla

0 feet (surface)+ 19 feet= 19

19-3 feet= 16

16+17= 33 feet

After performing the depth calculations for both Jim and Carla's scuba diving, it was found that Carla is resting at a greater depth than Jim. Jim ended 24 feet below the surface, and Carla ended 33 feet below the surface.

To start with, let's calculate how deep Jim and Carla each ended their dives. We begin with Jim, who started 12 feet below the surface, descended 17 feet, went up 3 feet and then descended another 8 feet. His total depth is therefore 12 - 17 + 3 - 8 = 24 feet below the surface.

Now let's calculate Carla's depth. Carla started at the surface (0 feet below), then descended 19 feet, ascended 3 feet, and descended another 17 feet. Her total depth is therefore 0 - 19 + 3 - 17 = 33 feet below the surface.

Comparing these two figures, Carla is resting at a greater depth than Jim.

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We can use the slope formula to find the slope between these two points:

[tex]\frac{y.2 - y.1}{x.2 - x.1} = m[/tex]

2 - 6 / -1 - 4

-4 / -5

Because there are two negatives, they cancel out.

The slope of the line between these two points is 4/5.

[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have}\\\\(4,\ 6)\to x_1=4,\ y_1=6\\(-1,\ 2)\to x_2=-1,\ y_2=2\\\\\text{substitute}\\\\m=\dfrac{2-6}{-1-4}=\dfrac{-4}{-5}=\dfrac{4}{5}=0.8[/tex]

Answer:

14 feet and 5 inches

Step-by-step explanation:

11 feet + 2 feet= 13 feet

9 inches + 8 inches = 17 inches

17 inches = 1 foot and 5 inches

13 + 1 = 14 feet

5 inches + 0 inches = 5 inches

Final answer:

Mr.Klinker will be twice as old as his daughter in 15 years.

Explanation:

To find the number of years in which Mr. Klinker will be twice as old as his daughter, we can set up an equation:

Let x be the number of years in the future.

Mr. Klinker's age: 35 + x

Daughter's age: 10 + x

According to the problem, Mr. Klinker will be twice as old as his daughter, so we can write the equation:

35 + x = 2(10 + x)

Now, let's solve for x:

35 + x = 20 + 2x

Move the 2x to the left side:

x - 2x = 20 - 35

-x = -15

Divide both sides by -1:

x = 15

Therefore, Mr. Klinker will be twice as old as his daughter in 15 years.

1.5 degrees per hour

There was a decrease of 1.5 degrees per hour.

A unit rate means a rate for one of something.

Given that, The temperature decreased at a constant rate for 12 hours, the temperature dropped a total of 18 degrees over those 12 hours,

In 12 h = -18 degrees

In 1 h = 18/12 = 1.5 degrees.

Hence, There was a decrease of 1.5 degrees per hour.

For more references on unit rate, click;

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[tex]f(x)=3(x+5)+\dfrac{4}{x}\\\\f(a+2)\to\text{put x = a + 2 to the equation of the function f}\\\\f(a+2)=3(a+2+5)+\dfrac{4}{a+2}=3(a+7)+\dfrac{4}{a+2}[/tex]

Answer:

The value of [tex]f(a+2)[/tex] is [tex]3a+21+\frac{4}{a+2}[/tex].

Step-by-step explanation:

Consider the provided function [tex]f(x)=3(x+5)+\frac{4}{x}[/tex]

In order to find the value of [tex]f(a+2)[/tex]

Substitute x = a + 2 in the provided function.

[tex]f(a+2)=3((a+2)+5)+\frac{4}{a+2}[/tex]

[tex]f(a+2)=3(a+2+5)+\frac{4}{a+2}[/tex]

[tex]f(a+2)=3(a+7)+\frac{4}{a+2}[/tex]

Now, apply the distributive property: [tex]a(b+c)=ab+ac[/tex]

[tex]f(a+2)=3a+21+\frac{4}{a+2}[/tex]

Therefore, the value of [tex]f(a+2)[/tex] is [tex]3a+21+\frac{4}{a+2}[/tex].

Given condition is:

A sloth moves in one hour = [tex]\frac{250}{5/8}[/tex]

[tex]\frac{5}{8}=0.625[/tex]

So, a sloth moves in one hour = [tex]\frac{250}{0.625}=400 units[/tex]

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = [tex]\frac{400}{60}[/tex]

In 90 minutes it will  move = [tex]\frac{400}{60}\times90=600[/tex]

The answer is 600 units.

Answer:

A sloth can move 600 units in 90 minutes.

Step-by-step explanation:

The problem says that if you divide 250 in [tex]\frac{5}{8}[/tex] you obtain how far a sloth move in one hour, then:

[tex]250:\frac{5}{8}=\frac{250.8}{5}= \frac{2000}{5}=400[/tex]

A sloth moves 400 units in one hour (60 minutes).

We can use a rule of three,

400 units ⇒ 60 minutes

x               ⇒ 90 minutes

[tex]x=\frac{90.400}{60} \\\\x=\frac{36000}{60}\\\\x=600[/tex]

A sloth can move 600 units in 90 minutes.

I am so sorry for giving you the wrong answer at first.

Here's the processs

1x=-0.5555

Move the decimal point in the repeating decimal one space forward

10x=-5.55555

Then subtract

10x=5.5555

x=-0.5555= 9x=-5

Divide both sides by 9

9x=-5

9x/9=-5/9

-5/9 is your final answer!

Hope this helps!

the answer for your problem is 7

1800-720=1080

He has 1080 miles left, he'll run 6 days per day so 1080/6=180

He won't need more than 180 days

Answer:

Step-by-step explanation:

Write and solve an inequality for d, the # of days:

720 mi + (6 mi / day)d ≥ 1800 mi.  Then:

(6 mi/day)d ≥ 1800 mi - 720 mi, or (6 mi/day)d ≥ 1080 mi.

Solving for d, we get 1080/6 days:  180 days.  If he runs 6 miles per day for 180 days, he will have covered 1800 miles.  His running more days will, of course, increase the total number of miles covered.

Answer:

The tip is $3.92. The total bill is $23.54.

Step-by-step explanation:

I simply used a calculator to find the answer. It's just basic multiplication for the tip and addition for the total bill.

Answer:

1st blank = $4

2nd blank = $24

Step-by-step explanation:

Henri's bill at a restaurant is $19.62. He wants to leave a tip of 20%

Estimated round off of $19.62 is $20.

Estimations are made for easy calculations in mind, this is why we round to nearest 0.

So, 20% of $20 is :

[tex]0.20\times20=4[/tex] dollars

And the total bill, including the tip is estimated to be :

= [tex]20+4=24[/tex] dollars

I do not know the answer I’m sorry

The least common denominator of 5/6 and 3/10 is 30.

To write 2.96 as a mixed number or fraction in simplest form, we divide the decimal part by 100, convert it to a fraction, and simplify it. The final answer is 2 24/25.

To write 2.96 as a mixed number or fraction in simplest form, we first need to understand that 2.96 is a decimal number. The whole number part is 2 and the decimal part is 0.96. To convert the decimal part to a fraction, we take the decimal part as the numerator and 100 as the denominator. So, 0.96 becomes 96/100. Now, we can write the mixed number as 2 96/100. To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 4. Dividing 96 by 4 gives us 24, and dividing 100 by 4 gives us 25. So, the simplest form of 2 96/100 is 2 24/25.

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3452 divide 2 multiply by 3 is 5178

Answer: There are 10,356 miles in all he traveled.

Step-by-step explanation:

Since we have given that

Number of miles round trip to Craigs aunts house = 3452 miles

Number of times he travels to her house this year = 3

So, we need to find the number of miles he travel in all.

So, the number of miles he travel in all is given by

[tex]3\times 3452\\\\=10,356\ miles[/tex]

Hence, there are 10,356 miles in all he traveled.

Final answer:

The number in question is 9. This is found by setting up the equation 2x - 12 = 6 and solving for x.

Explanation:

To find the number when twelve is subtracted from twice the number and the result is six, we set up the equation 2x - 12 = 6. To solve for the number (x), follow these steps:

Therefore, the number that satisfies the condition is 9.

Answer:

 the initial height of ball when the player releases it

Step-by-step explanation:

A basketball player shoots a free throw in a game. The quadratic expression models the height of the ball, in feet, where t is the time, in seconds.

y= -16t^2 + 25t+7

Given equation is in the form of

y= -16x^2 + V t + h

Where V  represents the initial velocity and h represents the initial height of the ball

Now we compare our equation with the general equation

We have 7 in the place of h

So , 7 is the initial height of the ball

Answer is 7 is  the initial height of ball when the player releases it

Answer:

A,D,E

Step-by-step explanation:

To get the answer, you need to solve the equation for x = 7.

f(7) = 3/7 + 2 - sqrt(7) - 3.

= 3/7 - 1 - sqrt(7).

If you need to simplify it further:

= -4/7 - sqrt(7).

If you need it in decimal form:  = -3.2171798824

Answer:

f(7)=-3.217

Step-by-step explanation:

We are given that [tex]f(x)=\frac{3}{x}-\sqrtx-3[/tex]

We have to find the value of f(7).

Substitute the value of x=7

Then, we get

[tex]f(7)=\frac{3}{7}+2-\sqrt7-3=\frac{3}{7}-1-\sqrt7[/tex]

[tex]f(7)=\frac{3-7}{7}-\sqrt7=-\frac{4}{3}-\sqrt7[/tex]

[tex]f(7)=-\frac{4}{7}-2.646[/tex]

Because [tex]\sqrt7=2.646[/tex]

[tex]f(7)=-\frac{4+18.522}{7}=-\frac{22.522}{7}[/tex]

[tex]f(7)=-3.217[/tex]

Hence, f(7)=-3.217